Question

What is the 6th term of the following geometric sequence? 2, -14, 98, -686,...

a. 33,614
b. -33,614
c. 235,298
d. -235,298

Answer 1

-235,298

Explanation:

Answer 2

`r = (-14)/(2) \\ r = -7\\ \\ a_(n) = a _(1) * r^(n-1)\\ a_(6) = 2 * (7)^(7-1)\\ a_(6) = 2 * -7^(6)\\ a_(6) = 2 * -117649 \\ a_(6) = -235298 \\ \\ letter`